guinier

Parameter Description Units Default value
scale Source intensity None 1
background Source background cm-1 0.001
rg Radius of Gyration Å 60

The returned value is scaled to units of cm-1 sr-1, absolute scale.

Definition

This model fits the Guinier function

\[I(q) = \text{scale} \cdot \exp{\left[ \frac{-Q^2R_g^2}{3} \right]} + \text{background}\]

to the data directly without any need for linearisation (cf. the usual plot of \(\ln I(q)\) vs \(q^2\)). Note that you may have to restrict the data range to include small q only, where the Guinier approximation actually applies. See also the guinier_porod model.

For 2D data the scattering intensity is calculated in the same way as 1D, where the \(q\) vector is defined as

\[q = \sqrt{q_x^2 + q_y^2}\]
../../_images/guinier_autogenfig.png

Fig. 90 1D plot corresponding to the default parameters of the model.

References

A Guinier and G Fournet, Small-Angle Scattering of X-Rays, John Wiley & Sons, New York (1955)